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Some, out of infinitely many possible ways, are:

1, 2, 4, 10 : U(n) = (n^3 - 5*n^2 + 10*n - 4)/2 for n = 1, 2, 3, 4

1, 2, 4, 9 : U(n) = (2*n^3 - 9*n^2 + 19*n - 6)/6 for n = 1, 2, 3, 4

1, 2, 4, 8 : U(n) = (3*n^3 - 3*n^2 + 8*n)/6 for n = 1, 2, 3, 4

1, 2, 4, 8 : U(1) = 1, U(n+1) = 2*U(n) for n = 1, 2, 3, 4

Note that the last two are the same sequence but with entirely different rules.

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